Starting from the general expression for the angular distribution of electrons produced through photoionization of spatially oriented molecules, simpler formulas for photoionization of linear molecules with an inversion center found in the Σ state, accompanied by the production of molecular ions in Σ and Π states, are obtained. For different geometric arrangements of the vectors determining the angular distribution, simple formulas are derived and their comparative analysis is made. It is shown that one can determine for different conditions of the experimental measurement of the angular dependences of ejected electrons the values of matrix elements and phase differences and separate the processes responsible for the production of ions in states with different symmetries.